Homework Help is Here – Start Your Trial Now!
Math
Statistics
The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8 cm. a. Find the probability that an individual distance is greater than 218.40 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 203.70 cm. c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8 cm. a. Find the probability that an individual distance is greater than 218.40 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 203.70 cm. c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8 cm.
a. Find the probability that an individual distance is greater than
218.40
cm.
b. Find the probability that the mean for
20
randomly selected distances is greater than 203.70 cm.
c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?
 

 

The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8 cm. a. Find the probability that an individual distance is greater than 218.40 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 203.70 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is (Round to four decimal places as needed.) b. The probability is. (Round to four decimal places as needed.) c. Choose the correct answer below. O A. The normal distribution can be used because the probability is less than 0.5 O B. The normal distribution can be used because the mean is large. O C. The normal distribution can be used because the original population has a normal distribution. O D. The normal distribution can be used because the finite population correction factor is small.
Transcribed Image Text:The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8 cm. a. Find the probability that an individual distance is greater than 218.40 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 203.70 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is (Round to four decimal places as needed.) b. The probability is. (Round to four decimal places as needed.) c. Choose the correct answer below. O A. The normal distribution can be used because the probability is less than 0.5 O B. The normal distribution can be used because the mean is large. O C. The normal distribution can be used because the original population has a normal distribution. O D. The normal distribution can be used because the finite population correction factor is small.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS